Atkin-Lehner |
2+ 5+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
6970d |
Isogeny class |
Conductor |
6970 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-11430800000 = -1 · 27 · 55 · 17 · 412 |
Discriminant |
Eigenvalues |
2+ 3 5+ -2 2 5 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-47290,-3946444] |
[a1,a2,a3,a4,a6] |
j |
-11695985466628852089/11430800000 |
j-invariant |
L |
2.9137298265447 |
L(r)(E,1)/r! |
Ω |
0.16187387925249 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55760p1 62730bd1 34850q1 118490k1 |
Quadratic twists by: -4 -3 5 17 |